What is the irrational cube root 3^√81 rewritten as a product of an integer and another irrational cube root?

To rewrite the cube root of 81 as a product of an integer and another irrational cube root, we can use the property of exponents that states √(a^b) = a^(b/2).

The cube root of 81 can be written as (81^(1/3))^(1/2) = 81^(1/6).

Therefore, the irrational cube root 3^√81 can be rewritten as 3^(81^(1/6)).